"The only technology we've ever had to deal with blowouts very severe is ? a very small-scale nuclear device ? right on top of the oil column, [detonating it] to en capsulate the stuff because it turns the earth into glass," Matthew Simmons, an energy expert, said.
Both BP and Washington said a controlled nuclear blast is not on the table.
"Well, that hasn't been seriously briefed to me, George," Allen told "GMA's" George Stephanopoulos. "I think we have to run out of a lot of things before we consider something like that. I think that's really on the peripheral of things we ought to be talking about right now."
BP CEO Tony Hayward admitted to the Financial Times that BP "did not have the tools you would want in your tool kit" and said accusing the company of not being fully prepared was "an entirely fair criticism."
Hayward has been criticized for comments he has made, and Wednesday Louisiana Democrat Rep. Charlie Melancon called for Hayward to be removed and to bring in someone "that really wants to make sure the people of this state, the people of this Gulf Coast region, have what they need."
Allen said while there is "a lot of talk about trust and confidence," he said that is not his responsibility.
"My responsibility is that BP does what it is supposed to -- conduct the proper oversight and make sure they are responsible or accountable for doing that," Allen said. "I work continuously with Tony Hayward. I have and will continue [to] in the future. Right now, the No. 1 goal we have is to get this oil contained and to get this cleanup done for the American people."
Wednesday Hayward apologized in a Facebook post for a comment he made Sunday when he said he wanted to stop the leak because "I want my life back."
"I apologize, especially to the families of the 11 men who lost their lives in this tragic accident. Those words don't represent how I feel about this tragedy," Hayward wrote.
ABC News' Brian Hartman contributed to this report.